2. To the right, you are given the graph of a function J. List the following quantities in order from smallest to largest. 0, f' (0.4), f' (1), f / (1.8), f' (3), f/ (3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. BHA f (x) 1 BAN 2 थी 4 100 Let
2. To the right, you are given the graph of a function J. List the following quantities in order from smallest to largest. 0, f' (0.4), f' (1), f / (1.8), f' (3), f/ (3.6) Then, explain, using a complete sentence (or sentences), the strategy you used to rank the quantities. BHA f (x) 1 BAN 2 थी 4 100 Let
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2. To the right, you are given the graph of a function f. List the
following quantities in order from smallest to largest.
0, f'(0.4), f'(1), f'(1.8), f'(3), f'(3.6)
Then, explain, using a complete sentence (or sentences), the
strategy you used to rank the quantities.
3. To the right, you are given the graph of the function P = f(t) =
100 1.5, which gives the population of a bacteria colony, P, after
t hours.
(a) Use the graph to estimate f'(1), and give a complete sen-
tence interpretation of your answer in the context of this
problem.
(b) Use the limit definition of the derivative and a table to
approximate f'(1) to within 0.1 of its true value. Show
your table, and circle your final answer.
f(x)
1
P
600+
500
400
300
200
100-
2
f(t) = 100-1.5t
1
2
3
4
4
x
t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfda259-7429-4717-b69c-7067c249bba0%2Fbe6657b4-0a8b-416b-87bd-70392e2287ac%2F9fhbsvw_processed.png&w=3840&q=75)
Transcribed Image Text:2. To the right, you are given the graph of a function f. List the
following quantities in order from smallest to largest.
0, f'(0.4), f'(1), f'(1.8), f'(3), f'(3.6)
Then, explain, using a complete sentence (or sentences), the
strategy you used to rank the quantities.
3. To the right, you are given the graph of the function P = f(t) =
100 1.5, which gives the population of a bacteria colony, P, after
t hours.
(a) Use the graph to estimate f'(1), and give a complete sen-
tence interpretation of your answer in the context of this
problem.
(b) Use the limit definition of the derivative and a table to
approximate f'(1) to within 0.1 of its true value. Show
your table, and circle your final answer.
f(x)
1
P
600+
500
400
300
200
100-
2
f(t) = 100-1.5t
1
2
3
4
4
x
t
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